Submission

Publication

  1. Test
  2. Test

 

Revision submitted

 

  1. Practical volume merging method for triply periodic minimal structures (20251224) Seungyoon Kang, Yibao Li, Soobin Kwak, Yongho Choi, Junseok Kim, submitted, ​Computer Methods in Biomechanics and Biomedical Engineering, 2026.
  2. Modeling and simulation of the normalized time-fractional nonlocal Cahn-Hilliard equation (20260119, ​02​ ​Jul​ ​2026) Seungyoon Kang, Xinpei Wu, Seungjae Lee, Junseok Kim, Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2026.
  3. Modeling and numerical simulation of the normalized time-fractional Navier–Stokes equations (20251019, Jul 18) Jian Wang, Lin Wu, Yu Wang, Runqiao Peng, Junseok Kim, submitted, ​Journal of Computational Physics, 2026.
  4. Ternary incompressible flow simulations on a virtual cube using the conservative Allen–Cahn–Navier–Stokes system (20260414, 억셉 될 경우 연구비지원 200, Due​ ​by​ ​12​ ​Aug​ ​2026) Xinpei Wu, Junseok Kim, submitted, ​Mathematics​ ​and​ ​Computers​ ​in​ ​Simulation, 2026.
  5. A Comprehensive Review of Numerical Methods for the Time-Fractional Allen–Cahn Equation (20260612, Due by 21 Jul 2026) Yongho Choi, R Poovarasan, Xinpei Wu, Seoungjae Lee, Junseok Kim, submitted, Archives​ ​of​ ​Computational​ ​Methods​ ​in​ ​Engineering, 2026.
  6. A three-dimensional conservative Allen–Cahn model with a curvature-dependent Lagrange multiplier (20260508, Due by Jul 27, 2026) Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, ​International Journal of Engineering Science, 2026.
  7. The normalized time–fractional FitzHugh–Nagumo reaction–diffusion equation (20260509) Serdal Yazıcı, Bayram Cekim, Xinpei Wu, Junseok Kim, submitted, Complexity, 2026.
  8. Structure-guided mesh denoising method by reaction-diffusion equation (20260520, Jul 26, 2026), Jian Wang, Yanshan Wang, Ziwei Han, Junseok Kim, submitted, Pattern Recognition, 2026.

 

In revision

  1. A space-adaptive, unconditionally stable, and maximum bound preserving scheme for the 3D Allen–Cahn equation (20260420) Soobin Kwak, Junseok Kim, submitted, ​​Communications in Nonlinear Science and Numerical Simulation, 2026.
  2. Numerical simulation of unconditionally stable normalized fractional Gray-Scott equation (20260226, Due by Sep 03 2026 11:59:59:000PM) Jian Wang, Yu Wang, Runqiao Peng, Lin Wu Junseok Kim, submitted, Computers and Mathematics with Applications, 2026. 
  3. A Positivity-Preserving Adaptive Finite Volume Method for the Ternary Allen–Cahn Equation (20260403,  ​due​ ​by​ ​Sep​ ​06,​ ​2026) Jilong He, Junseok Kim, submitted, Applied​ ​Numerical​ ​Mathematics, 2026.

 

Submitted

  1. Numerical investigation of reverse equity-linked securities (20250704) Yunjae Nam, Jian Wang, Hyundong Kim, Soobin Kwak, Minjoon Bang, Zhengang Li, Junseok Kim, submitted, Computational​ ​Economics, 2026.
  2. Changes​ ​in​ ​Global​ ​Trade​ ​Centers:​ ​Based​ ​on​ ​a​ ​Visual​ ​Assessment​ ​Method (20250818) Jian​ ​Wang;​ ​Haixiao​ ​Wang;​ ​Wei​ ​Shao;​ ​Jie​ ​Chen;​ ​Shanshan​ ​Ge;​ ​Junseok​ ​Kim, submitted,  ​​Chaos: An Interdisciplinary Journal of Nonlinear Science, 2026.
  3. Performance​ ​assessment​ ​of​ ​numerical​ ​methods​ ​for​ ​solving​ ​the​ ​Allen-Cahn​ ​equation (20251215) Seokjun Ham, Juho Ma, Zhengang Li, Xinpei Wu, Yunjae Nam, Junseok Kim, submitted, Korean Journal of Mathematics, 2026.
  4. An unconditionally stable denoising algorithm on non-uniform grids (20260106, ​cfdkim)  Jian Wang, Shanshan Ge, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Computer​ ​Vision, 2026.
  5. The Fourier-spectral method for solving the normalized time-fractional Swift–Hohenberg model (20260325, ​cfdkim) Ke Zhang, Zhengang Li, Xinpei Wu, Seungjae Lee, Soobin Kwak, Junseok Kim, submitted, International Journal of Computer Mathematics, 2026.
  6. Binary classification of noisy and imbalanced data using a high-order Allen-Cahn equation with a fidelity term (20260330) Sangkwon Kim, Youngjin Hwang, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2026.
  7. Optimal calibration of the temporally varying volatility function (20260408) Jian Wang, Youngjin Hwang, Hyundong Kim, Soobin Kwak, Junseok Kim, submitted, ​​Review of Derivatives Research, 2026.​
  8. Highly efficient scheme for a three-dimensional normalized time-fractional Allen-Cahn equation (20260409) Ke Zhang, Jian Wang, Seungjae Lee, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, Numerical Methods for Partial Differential Equations, 2026.
  9. ​Isotropic discretization of a mathematical model for dendritic growth without artificial curvature (20260416) Seokjun Ham, Soobin Kwak, Xinpei Wu, Meiyun Nan, Junseok Kim, submitted, Journal of Computational Mathematics, 2026.
  10. A high-order Allen-Cahn phase field denoising model for preserving geometric detail features (20260427) Jian Wang, Bowen Geng, Haixiao Wnag, Shanshan Ge, Chenhua Jiang, Junseok Kim, submitted, Computer-Aided Design, 2026.
  11. An unconditionally stable and maximum-bound-preserving method for the Allen–Cahn equation with a growth or shrinkage term (20260428) Jilong He, Xinpei Wu, Juho Ma, Seungjae Lee, Junseok Kim, submitted, Journal​ ​of​ ​Nonlinear​ ​Science, 2026.
  12. The normalized space-time fractional Allen–Cahn equation (20260507) Hyun Geun Lee, Soobin Kwak, Juho Ma, Zhengang Li, Junseok Kim, submitted, International Journal of Computer Mathematics, 2026.
  13. An Accurate Adaptive Time-stepping Method for Epidemic Modeling (20260514, Junseok Kim, ??) Seungjae Lee, Xinpei Wu, Zhengang Li, Meiyun Nan, Hyeonseo Kim, Sungwon Jung, Wenzhe Zhong, Junseok Kim, submitted, International​ ​Journal​ ​of​ ​Computational​ ​Methods, 2026.
  14. An adaptive hybrid method with unconditional stability for the conservative Allen-Cahn equation (20260617) Hyundong Kim, Xinpei Wu, Juho Ma, Zhengang Li, Junseok Kim, submitted, Journal of Computational and Applied Mathematics, 2026.
  15. Practical reconstruction of smooth local volatility surfaces using an exponential of polynomial ansatz for options (20260618) Yunjae Nam, Zhengang Li, Xinpei Wu, Junseok Kim, submitted, ​Computational​ ​Economics, 2026.
  16. Inpainting and denoising of fingerprint images using a nonlocal partial differential equation with a fidelity term (20260619) Soobin Kwak, Yibao Li, Junseok Kim, submitted, Zeitschrift​ ​für​ ​angewandte​ ​Mathematik​ ​und​ ​Physik, 2026.
  17. Unconditionally​ ​maximum​ ​bound​ ​principle​ ​preserving​ ​algorithm​ ​for​ ​the​ ​3D​ ​Allen–Cahn​ ​equation​ ​with​ ​a​ ​time-dependent​ ​logarithmic​ ​potential (20260619) Sangkwon Kim, Juho Ma, Ke Zhang, Soobin Kwak, Junseok Kim, submitted, ​Applied​ ​Numerical​ ​Mathematics, 2026.
  18. Efficient data classification with a phase-field equation on a triangular mesh (20260630) Hyundong Kim, Zhengang Li, Xinpei Wu, Juho Ma, Junseok Kim, submitted, Applied​ ​Intelligence, 2026.
  19. Region-Constrained Uniform Porous Pattern Generation For 3D Printing (20260706) Jian Wang, Bowen Geng, Yu Wang, Junseok Kim, submitted, Computer Aided Geometric Design, 2026.
  20. 3D models of Voronoi-based lattice structures in complex domains: geometric construction and hydrodynamic analysis (20260715) Jian Wang, Qin Liu, Xuejuan Chen, Junseok Kim, submitted, ACM​ ​Transactions​ ​on​ ​Graphics, 2026.
  21. Numerical simulation of normalized time-fractional Lengyel-Epstein model (20260715) Jian Wang, Keyong Chen, Qin Liu, Junseok Kim, submitted, Fractional​ ​Calculus​ ​and​ ​Applied​ ​Analysis​, 2026.
  22. Time-step constraint for maximum-principle-preserving non-isothermal Allen-Cahn equation with logarithmic potential (20260715, 억셉 될 경우 연구비지원 200) Juho Ma, Soobin Kwak, Ke Zhang, Zhengang Li, Sangkwon Kim, Junseok Kim, Journal of Mathematical Analysis and Applications, 2026.
  23. Reconstruction of convexity-preserving local volatility functions (20260717) Sangkwon Kim, Jian Wang, Soobin Kwak, Hyundong Kim, Yunjae Nam, Junseok Kim, submitted, Journal of Computational and Applied Mathematics​, 2026.
  24. Effect of the fractional order on SEIR dynamics with normalized time memory (20260619, cfdkim, !!!) Sungwon Jung, Yuzhao Ye, Wenzhe Zhong, Ke Zhang, Junseok Kim, submitted, ​International​ ​Journal​ ​of​ ​Biomathematics, 2026.
  25. Maximum​ ​principle-preserving​ ​explicit​ ​method​ ​for​ ​the​ ​conservative​ ​Allen–Cahn​ equation (20260731) Youngjin Hwang, Junseok Kim, submitted, Computer Physics Communications, 2026.
  26. A normalized Caputo-Fabrizio fractional diffusion equation with decreasing weighting functions (20260803)  Binhu Xia, Fatao Chen, Kun Wang, Xinpei Wu, Zhengang Li, Meiyun Nan, Juho Ma, Junseok Kim, submitted, ZAMM – Journal of Applied Mathematics and Mechanics, 2026.
  27. Numerical​ ​method​ ​for​ ​the​ ​normalized​ ​variable-order​ ​time-fractional​ ​diffusion​ ​equation​ ​in​ ​three​ ​dimension (20260804) Yuzhao Ye, Seungjae Lee, Jaeyong Choi, Junseok Kim, submitted, Advances​ ​in​ ​Applied​ ​Mathematics​ ​and​ ​Mechanics, 2026.
  28. The normalized time-fractional phase-field crystal equation (20260804) Seungjae Lee, Ke Zhang, Yongho Choi, Soobin Kwak, Junseok Kim, submitted, Indian​ ​Journal​ ​of​ ​Physics, 2026.
  29. THREE-DIMENSIONAL​ ​MODELING​ ​OF​ ​NONUNIFORM​ ​ZEBRA​ ​STRIPE​ ​PATTERNS​ ​WITH​ ​SPACE-DEPENDENT​ ​REACTION-DIFFUSION​ ​PARAMETERS (20260806) Binhu Xia, Seokjun Ham, Youngjin Hwang, Xinpei Wu, Seungjae Lee, Junseok Kim, submitted, Journal​ ​of​ ​Biological​ ​Systems, 2026.
  30. A​ ​second-order​ ​temporal​ ​and​ ​fourth-order​ ​spatial​ ​numerical​ ​method​ ​for​ ​the​ ​Allen–Cahn​ ​equation (20260807) Chaeyoung Lee, Xinpei Wu, Meiyun Nan, Yuzhao Ye, Wenzhe Zhong, Junseok Kim, submitted, Acta Mathematicae Applicatae Sinica, English Series, 2026.
  31. A Latent-Space Prediction Framework with Observation-Guided Diffusion Correction for Crystal and Quasicrystal Dynamics … Yixin Yuan Zhixian Lv Junseok Kim, Yibao Li, submitted, Computer Physics Communications, 2026.

 

Applied Mathematics Letters: 2026년 7월 부터 논문 제출 가능

Applied​ ​Numerical​ ​Mathematics: 한 달에 분야 별 최대 5편까지 제출 가능 저널

Applied Mathematics and Computation: 유사도 1% 초과하면 데스크 리젝됨

Journal​ ​of​ ​Applied​ ​Mathematics​ ​and​ ​Computing: Scope가 안 맞음, 논문 제출 X

 

In preparation

 
2) Implicit Cahn-Hilliard equation using multigrid method on a cubic surface
3) Implicit nonlocal Cahn-Hilliard equation using multigrid method on a cubic surface
4) Two-phase Navier-Stokes-Cahn-Hilliard equation on a cubic surface.
5) Numerical studies for the phase-field crystal equation with a logarithmic free energy
6) Fast and simple short-time epidemic prediction algorithm for 2019 novel coronavirus (COVID-19) in China

 

 

  1. Reconstructing initial conditions through inverse problems in normalized time-fractional diffusion equations (20260616) Soobin Kwak, Xinpei Wu, Junseok Kim, submitted, ​Computational​ ​and​ ​Applied​ ​Mathematics, 2026.
  2. Modified Allen–Cahn equation for curvature-dependent tissue growth on three-dimensional surfaces (20260619) Soobin Kwak, Yunjae Nam, Juho Ma, and Junseok Kim, Journal​ ​of​ ​Scientific​ ​Computing, 2026.
  3. A stable and efficient second-order finite difference scheme for solving the Allen–Cahn equation (20260731) Soobin Kwak, Juho Ma, Junwon Ko, Meiyun Nan, Zhengang Li, Xinpei Wu, Junseok Kim, submitted, Communications​ ​in​ ​Computational​ ​Physics, 2026.
  4. A​ ​Temporally​ ​Second-order​ ​Fourier​ ​Spectral​ ​Method​ ​for​ ​the​ ​Allen-Cahn​ ​equation​ ​with​ ​a​ ​High-order​ ​Potential (20260713) Seungjae Lee, Meiyun Nan, Hyeonseo Kim, Xinpei Wu, Juho Ma, Junseok Kim, submitted, East​ ​Asian​ ​Journal​ ​on​ ​Applied​ ​Mathematics, 2026.
  5. BS-GAN: Region-aware Chest X-ray Bone Suppression using PDE-guided GAN (20250122) Yunseong Cho, Young Kim, Keunhoo Kim, Junseok Kim, Seungsang Oh, Sangjun Lee, Subin Bae, Donggyu Lee, Sangkwon Kim, submitted, Pattern Recognition, 2026.
  6. Classification of N-component data using the vector-valued Allen–Cahn equations (20260330) Sangkwon Kim, Hyun Geun Lee, Youngjin Hwang, Soobin Kwak, Seokjun Ham, Junseok Kim, submitted, Pattern​ ​Analysis​ ​and​ ​Applications, 2026.
  7. Physics-Informed Neural Networks with Local Non-Similarity Method for Mixed Convection of Williamson Fluid over a Porous Stretching Cylinder under MHD and Thermal Radiation (20260527) Ahmed Zeeshan, Hameed Ullah Khan, Atef F. Hashem, Junseok Kim, submitted, ​International Communications in Heat and Mass Transfer, 2026.
  8. A direct and simple metric for evaluating researchers’ impact on the global scholarly  communities (20241127) Jian Wang, Menghao Huang, Youngjin Hwang, Seungyoon Kang, Xinpei Wu, Junseok Kim, submitted, Advances​ ​in​ ​Complex​ ​Systems, 2025.
  9. Computational​ ​analysis​ ​of​ ​the​ ​dynamic​ ​properties​ ​of​ ​normalized​ ​time-fractional​ derivatives (20250815​)  Junseok Kim, Yunjae Nam, Xinpei Wu, submitted, Computer Physics Communications, 2025.
  10. A geometric multigrid implementation for solving the three-dimensional Cahn-Hilliard equation (20251224) Youngjin Hwang, Xinpei Wu, Junseok Kim, submitted, Journal, 2025.
  11. An efficient finite volume lattice Boltzmann method on nonuniform triangular meshes for curved surfaces (20260420) Youngjin Hwang, Soobin Kwak, Seokjun Ham, Xinpei Wu, Junseok Kim, submitted, Zeitschrift​ ​für​ ​angewandte​ ​Mathematik​ ​und​ ​Physik, 2026.
  12. Numerical simulation of Hele–Shaw-type flows between two cubical surfaces (20260801) Hyun Geun Lee, Xinpei Wu, Seungjae Lee, Soobin Kwak, Junseok Kim, ​Numerical​ ​Mathematics:​ ​Theory,​ ​Methods​ ​and​ ​Applications, 2026.
  13. A normalized time-fractional conservative Allen-Cahn equation (20260801) Dongsun Lee, Yunjae Nam, Soobin Kwak, Xinpei Wu, Zhengang Li, Juho Ma, Junseok Kim, submittd, Journal of Nonlinear Science, 2026.
  14. An efficient adaptive time-step method for a normalized time-fractional SIR model with demographic processes (202600802) Chaeyoung Lee, Meiyun Nan, Xinpei Wu, Junseok Kim, submitted, ​Mathematical Methods in the Applied Sciences, 2026.
  15. An accurate and efficient adaptive time-stepping method for the Allen–Cahn equation (20260527) Chaeyoung Lee, Xinpei Wu, Seungjae Lee, Junseok Kim, submitted, ​BIT​ ​Numerical​ ​Mathematics, 2026.
  16. Normalized​ ​Caputo–Fabrizio​ ​fractional​ ​2D​ ​and​ ​3D​ ​diffusion​ ​equations (20260802) Chaeyoung Lee, Seungjae Lee, Ke Zhang, Meiyun Nan, Junseok Kim, submitted, ​The​ ​European​ ​Physical​ ​Journal​ ​Plus, 2026.
  17. Topology optimization of porous structures for adaptive embedding of artificial bone implants: integration of theory and experiment (20260708) Jian Wang, Xuejuan Chen, Yuanyuan Fu, Xinpei Wu, Bowen Geng, Yu Wang, Haixiao Wang, Mengyu Luo, Shanshan Ge, Junseok Kim, submitted, Journal of Computational Physics, 2026.
  18. A normalized time-fractional Landau–Lifshitz equation (20260731) Soobin Kwak, Moumni Mohammed, Juho Ma, Xinpei Wu, Junseok Kim, submitted, Mathematical Methods in the Applied Sciences, 2026.

 

 

Mathematics in Engineering

Please find attached the PDF file with responses to the reviewer’ comments.

Please acknowledge receipt of this email

This work was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government(MSIT) (No. 한국연구재단에서 부여한 과제 관리번호). ※ MSIT: Ministry of Science and ICT

This work was supported by the National Research Foundation(NRF), Korea, under project BK21 FOUR.

Jian Wang is supported by National Natural Science Foundation of China (No. 12501531).